Arkiv för Matematik

  • Ark. Mat.
  • Volume 18, Number 1-2 (1980), 145-155.

On the synthesis problem for orbits of Lie groups in Rn

W. Kirsch and D. Müller

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Article information

Source
Ark. Mat., Volume 18, Number 1-2 (1980), 145-155.

Dates
Received: 9 November 1979
First available in Project Euclid: 31 January 2017

Permanent link to this document
https://projecteuclid.org/euclid.afm/1485896614

Digital Object Identifier
doi:10.1007/BF02384687

Mathematical Reviews number (MathSciNet)
MR608333

Rights
1980 © Institut Mittag-Leffler

Citation

Kirsch, W.; Müller, D. On the synthesis problem for orbits of Lie groups in R n. Ark. Mat. 18 (1980), no. 1-2, 145--155. doi:10.1007/BF02384687. https://projecteuclid.org/euclid.afm/1485896614


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References

  • Domar, Y., On the spectral synthesis problem for (n−1)-dimensional subsets of Rn. Ark. Mat. 9 (1971), 23–37.
  • Domar, Y., A C-curve of spectral non-synthesis. Mathematika 24 (1977), 189–192.
  • Helgason, S., Differential Geometry and Symmetric Spaces. New York, 1962.
  • Herz, C. S., Spectral synthesis for the circle. Ann. of Math. 68 (1958), 709–712.
  • Hochschild, G., The structure of Lie groups. San Francisco, 1965.
  • Leptin, H., Lokalkompakte Gruppen mit symmetrischen Algebren. Symposia Math. 22 (1977), 267–281.
  • Littman, W., Fourier transforms of surface-carried measures and differentiability of surface averages. Bull. Amer. Math. Soc. 69 (1963), 766–770.
  • Lust, F., Le probleme de la synthese et de la p-finesse pour certain orbites des groupes lineares dans Ap(Rn). Studia Math. 39 (1971), 17–28.
  • Reiter, H., Classical harmonic analysis and locally compact groups. Oxford, 1968.
  • Schwartz, L., Theorie des distributions. Paris, 1966.
  • Varopoulos, N. Th., Spectral synthesis on spheres. Proc. Cambridge Phil. Soc. 62 (1966), 379–387.